On the Spatial Difference Schemes of Direct Simulation of Aeroacoustics

YANG Ai-ling; XIE Cui-li; CHEN Kang-min

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On the Spatial Difference Schemes of Direct Simulation of Aeroacoustics

更新时间：2026-07-07

- On the Spatial Difference Schemes of Direct Simulation of Aeroacoustics
- Vol. 19, Issue 5, (2004)
- 作者机构：
  
  上海理工大学动力工程学院,上海,200093
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2004
- 稿件说明：
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YANG Ai-ling, XIE Cui-li, CHEN Kang-min. On the Spatial Difference Schemes of Direct Simulation of Aeroacoustics[J]. 2004, 19(5).
DOI：

YANG Ai-ling, XIE Cui-li, CHEN Kang-min. On the Spatial Difference Schemes of Direct Simulation of Aeroacoustics[J]. 2004, 19(5). DOI：

摘要

流场内声波的直接数值模拟对数值格式的耗散、色散特性提出了严格要求

首先介绍了两种适于声学模拟空间差分格式——紧致差分格式与色散关系保持(DRP)格式的基本思想

然后分析了格式的色散及其与四阶龙格-库塔法结合时的耗散特性。根据Fourier误差分析和数值模拟发现:无论从格式可有效求解的波数范围还是从与龙格-库塔时间推进结合后的耗散特性来看六阶紧致格式的可有效求解范围要大于DRP格式;不过

数值计算表明紧致格式的计算量远远超过DRP格式

对计算机资源提出了较高的要求。

Abstract

Direct numerical simulation of aero-acoustics needs excellent numerical characteristics of spatial difference schemes such as dispersion relation and dissipation.The idea of compact finite difference scheme and Dispersion Relation Preserving (DRP) scheme is discussed first.Then

the dispersion characteristics and the dissipation characteristics of the two schemes are analyzed.The results show that either the solvable range of number of waves or the dissipation characteristics of the scheme combined with four-stage four-order Runge-Kutta method

the solvable range of the 6th-order compact scheme is larger than that of DRP scheme.However

the computational workload of the 6th-order compact scheme is far beyond DRP scheme.

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